10677610000 has 50 divisors (see below), whose sum is σ = 25851585782. Its totient is φ = 4271040000.

The previous prime is 10677609991. The next prime is 10677610001. The reversal of 10677610000 is 1677601.

10677610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 5853474064 + 4824135936 = 76508^2 + 69456^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×10677610000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10677610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 523881 + ... + 543880.

Almost surely, 2^10677610000 is an apocalyptic number.

10677610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10677610000 is an abundant number, since it is smaller than the sum of its proper divisors (15173975782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10677610000 is an equidigital number, since it uses as much as digits as its factorization.

10677610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067789 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 10677610000 in words is "ten billion, six hundred seventy-seven million, six hundred ten thousand".